Simpler way to graph multiple trig. functions?

hey everybody,

hope you enjoying maths

so in class we are graphing functions like this: y = 3cos2x + 2sin3x + 1
and we are supposed to draw 3cos2x and 2sin3x + 1 separately than add their y-values at certain x-values to get the first function. This is sometimes painstaking and very time consuming. I was thinking if anybody knows a simpler method to this?